Details

sample942.0ms

Algorithm

intervals

Results

406.0ms	230×	body	10240	exit
154.0ms	92×	body	2560	valid
60.0ms	84×	body	1280	valid
22.0ms	518×	body	80	nan
17.0ms	42×	body	640	valid
5.0ms	20×	body	320	valid
2.0ms	13×	body	160	valid
0.0ms	5×	body	80	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	43	6
3	91	6
4	257	6
5	1277	6
6	5001	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize12.0ms

Local error

Found 2 expressions with local error:

2.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.9b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin`

Counts

2 → 15

Calls

2 calls:

1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series12.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify86.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	44	144
1	72	124
2	156	124
3	405	124
4	1968	124
5	5002	124

prune79.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 59.3b

localize12.0ms

Local error

Found 3 expressions with local error:

2.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.8b	(log (exp (fmod (cosh a) (* a a))))
58.9b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `log-pow`
3×	`add-exp-log` `log-prod` `exp-prod` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 30

Calls

3 calls:

0.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
1.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series7.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify107.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	73	265
1	107	226
2	221	226
3	590	226
4	2934	226
5	5002	226

prune142.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.3b

localize15.0ms

Local error

Found 4 expressions with local error:

10.8b	(log (exp (fmod (cosh a) (* a a))))
10.8b	(log (exp (fmod (cosh a) (* a a))))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
6×	`pow1` `log-prod` `exp-prod`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`rem-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series8.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify82.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	296
1	75	256
2	157	256
3	405	256
4	1946	256
5	5003	256

prune265.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 59.3b

localize14.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `sqrt-pow1`
6×	`add-exp-log` `exp-prod` `sqrt-prod`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 54

Calls

4 calls:

2.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series237.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
117.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify84.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	66	488
1	98	434
2	180	434
3	439	430
4	2003	430
5	5002	430

prune269.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 59.3b

regimes205.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19

end0.0ms

sample22.6s

Algorithm

intervals

Results

13.7s	7871×	body	10240	exit
5.0s	3132×	body	2560	valid
1.9s	2580×	body	1280	valid
683.0ms	16002×	body	80	nan
480.0ms	1217×	body	640	valid
168.0ms	617×	body	320	valid
65.0ms	332×	body	160	valid
15.0ms	7×	body	5120	nan
13.0ms	11×	body	2560	nan
12.0ms	122×	body	80	valid
5.0ms	10×	body	1280	nan
2.0ms	8×	body	320	nan
1.0ms	4×	body	640	nan
1.0ms	8×	body	160	nan